Convergence rate of inertial Forward–Backward algorithm beyond Nesterov’s rule

Author:

Apidopoulos VassilisORCID,Aujol Jean-François,Dossal Charles

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Software

Reference21 articles.

1. Apidopoulos, V., Aujol, J.F., Dossal, C.: The differential inclusion modeling FISTA algorithm and optimality of convergence rate in the case b $$\le 3$$ ≤ 3 . SIAM J. Optim. 28(1), 551–574 (2018)

2. Attouch, H., Cabot, A.: Convergence rates of inertial forward–backward algorithms. SIAM J. Optim. 28(1), 849–874 (2018)

3. Attouch, H., Chbani, Z., Peypouquet, J., Redont, P.: Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity. Math. Program. 168, 1–53 (2016)

4. Attouch, H., Chbani, Z., Riahi, H.: Rate of convergence of the Nesterov accelerated gradient method in the subcritical case $$\alpha \le 3$$ α ≤ 3 (2017). arXiv preprint arXiv:1706.05671

5. Attouch, H., Peypouquet, J.: The rate of convergence of Nesterov’s accelerated forward–backward method is actually faster than 1/k $$^{\wedge }$$ ∧ 2. SIAM J. Optim. 26(3), 1824–1834 (2016)

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